- Code MATH3062
- Unit Value 6 units
- Offered by Department of Mathematics
- ANU College ANU Joint Colleges of Science
- Course subject Mathematics
- Areas of interest Mathematics
- Academic career UGRD
- Prof Michael Barnsley
- Mode of delivery In Person
Second Semester 2014
See Future Offerings
This course introduces the basic mathematical techniques of fractal geometry for diverse applications. It will explain how these techniques apply to digital imaging, image compression, special effects, biological modeling, medical data representation and cryptography. The key ideas are introduced in an intuitive, hands-on manner, although all students are invited to sit in on the HPO option special lectures which will provide rigorous mathematical foundations.
Each student will be expected to select and complete a special project in one of the following areas: (i) 3D printing of fractal models ; (ii) fractal image magnification; (iii) fractal compression ; (iv) project chosen by the student with agreement from the lecturer. There will be one computer lab meeting each week.
Honours pathway option (HPO)
Students doing the HPO option will participate in an additional lecture each week. These may be related to the material in the basic course, but will be focused on exhibiting and understanding the general theory of Iterated Function Systems.
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:
1. Explain the basic concepts of fractal geometry; (LO1)
2. Be able to identify practical situations where fractal techniques may be applied; (LO2)
3. Be able to build a fractal application in a practical area such as digital imaging or biological modeling. (LO3)
4. (HPO only) Be able to prove basic theorems and solve problems in the area of Iterated Function Systems. (LO4)
Assessment may be based on:
- Projects (25%; LO 1-3)
- Tutorials and Lab worksheets (25%; LO 1-3)
- 5 Assignments (25%l LO 1-3)
- Mid-term Exam (25%; LO 1-3)
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24 lectures and approx. 10 workshops. Plus 12 additional lectures for HPO
Requisite and Incompatibility
Fractals Everywhere, by Michael F. Barnsley, Third Edition (2012, Dover).
Tuition fees are for the academic year indicated at the top of the page.
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- Student Contribution Band:
- Unit value:
- 6 units
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Offerings, Dates and Class Summary Links
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Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
|Class number||Class start date||Last day to enrol||Census date||Class end date||Mode Of Delivery||Class Summary|
|8651||21 Jul 2014||01 Aug 2014||31 Aug 2014||30 Oct 2014||In Person||N/A|